Pith Number

pith:RT4FVZHU

pith:2018:RT4FVZHUW6E7GGKPWBHDMQT2LV

not attested not anchored not stored refs pending

The Mittag-Leffler function in the thinning theory for renewal processes

Francesco Mainardi, Rudolf Gorenflo

arxiv:1808.06563 v1 · 2018-08-17 · math.PR · math-ph · math.CV · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RT4FVZHUW6E7GGKPWBHDMQT2LV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:07:44.437206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf85ae4f4b789f3194fb04e36427a5d6c8375f71935e56aaec474990bddf5d9

Aliases

arxiv: 1808.06563 · arxiv_version: 1808.06563v1 · doi: 10.48550/arxiv.1808.06563 · pith_short_12: RT4FVZHUW6E7 · pith_short_16: RT4FVZHUW6E7GGKP · pith_short_8: RT4FVZHU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RT4FVZHUW6E7GGKPWBHDMQT2LV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8cf85ae4f4b789f3194fb04e36427a5d6c8375f71935e56aaec474990bddf5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029926b9979f7b94f537188587a051dcde305287deacf98d5b5068cbad3ee05d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-17T15:47:08Z",
    "title_canon_sha256": "ec23dfee4f7b24a371fbcefabb9943fba2e2bbd6b66191c826a877992d29d805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06563",
    "kind": "arxiv",
    "version": 1
  }
}